10015305365364 has 96 divisors (see below), whose sum is σ = 25595435376000. Its totient is φ = 3029138950656.

The previous prime is 10015305365353. The next prime is 10015305365413. The reversal of 10015305365364 is 46356350351001.

It is a happy number.

It is a super-3 number, since 3×10015305365364³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123928282 + ... + 124009070.

It is an arithmetic number, because the mean of its divisors is an integer number (266619118500).

Almost surely, 2^{10015305365364} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10015305365364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12797717688000).

10015305365364 is an abundant number, since it is smaller than the sum of its proper divisors (15580130010636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10015305365364 is a wasteful number, since it uses less digits than its factorization.

10015305365364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94337 (or 94335 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 10015305365364 in words is "ten trillion, fifteen billion, three hundred five million, three hundred sixty-five thousand, three hundred sixty-four".